On Constraint Qualifications for Multiobjective Optimization Problems with Switching Constraints

Pandey, Yogendra; Singh, Vinay

doi:10.1007/978-981-16-1819-2_13

Cited by 5 publications

(2 citation statements)

References 62 publications

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“…Stationarity conditions and constraint qualiőcations for (MPSC) were explored by Mehlitz [32]. Constraint qualiőcations for multiobjective (MPSC) were studied by Pandey and Singh [35]. Li and Guo [26] investigated Mordukhovich stationary conditions for (MPSC) under some weak constraint qualiőcations.…”

Section: Introductionmentioning

confidence: 99%

Optimality Conditions and Duality for MultiobjectiveSemi-infinite Optimization Problems with SwitchingConstraints on Hadamard Manifolds

Upadhyay,

Ghosh

2023

Preprint

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This paper deals with a certain class of multiobjective semi-infinite programming problems with switching constraints (in short, (MSIPSC)) in the framework of Hadamard manifolds. We introduce Abadie constraint qualification (abbreviated as, (ACQ)) for (MSIPSC) in Hadamard manifold setting.Necessary criteria of weak Pareto efficiency for (MSIPSC) are established by employing (ACQ). Further, sufficient criteria of weak Pareto efficiency for (MSIPSC) are established by using geodesic quasiconvexity and pseudoconvexityassumptions. Subsequently, Mond-Weir type and Wolfe type dual modelsare formulated related to the primal problem (MSIPSC), and thereafter several duality results are established that relate (MSIPSC) and the correspondingdual models. Several interesting non trivial examples are furnished in the framework of well-known Hadamard manifolds, such as the set consistingof all symmetric positive definite matrices and the Poincaré half plane, toillustrate the importance of the results derived in this article. To the best ofour knowledge, this is the first time that optimality conditions and duality for (MSIPSC) have been studied in the setting of Hadamard manifolds Mathematics Subject Classification (2000) 90C34 · 90C46 · 90C48 · 90C29

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Section: Introductionmentioning

confidence: 99%

Optimality Conditions and Duality for MultiobjectiveSemi-infinite Optimization Problems with SwitchingConstraints on Hadamard Manifolds

Upadhyay,

Ghosh

2023

Preprint

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“…Liang and Ye [14] obtained various optimality conditions and local error bounds for MPSC. Pandey and Singh [15] studied several constraint qualifications and stationarity for multiobjective mathematical programs with switching constraints.…”

Section: Introductionmentioning

confidence: 99%

Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems

et al. 2022

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In this paper, we obtain characterizations of solution sets of the interval-valued mathematical programming problems with switching constraints. Stationary conditions which are weaker than the standard Karush–Kuhn–Tucker conditions need to be discussed in order to find the necessary optimality conditions. We introduce corresponding weak, Mordukhovich, and strong stationary conditions for the corresponding interval-valued mathematical programming problems with switching constraints (IVPSC) and interval-valued tightened nonlinear problems (IVTNP), because the W-stationary condition of IVPSC is equivalent to Karush–Kuhn–Tucker conditions of the IVTNP. Furthermore, we use strong stationary conditions to characterize the several solutions sets for IVTNP, in which the last ones are particular solutions sets for IVPSC at the same time, because the feasible set of tightened nonlinear problems (IVTNP) is a subset of the feasible set of the mathematical programs with switching constraints (IVPSC).

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Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds

Upadhyay,

Ghosh

2024

Positivity

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On Constraint Qualifications for Multiobjective Optimization Problems with Switching Constraints

Cited by 5 publications

References 62 publications

Optimality Conditions and Duality for MultiobjectiveSemi-infinite Optimization Problems with SwitchingConstraints on Hadamard Manifolds

Optimality Conditions and Duality for MultiobjectiveSemi-infinite Optimization Problems with SwitchingConstraints on Hadamard Manifolds

Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems

Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds

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